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Income Taxes Income Taxes (Details) - USD ($)
$ in Millions
3 Months Ended 6 Months Ended
Dec. 01, 2018
Dec. 02, 2017
Dec. 01, 2018
Dec. 02, 2017
Income Tax Disclosure [Abstract]        
Tax Cuts and Jobs Act of 2017, Incomplete Accounting, Discrete increase in Tax Expense Related to Foreign Tax Credits     $ 0.9  
Tax Cuts and Jobs Act of 2017, Incomplete Accounting, TransitionTax for Accumulated Foreign Earnings, Provisional Income Tax Expense (Benefit)     $ 0.1  
Effective Income Tax Rate Reconciliation, Percent 22.60% 30.50% 21.40% 30.50%